Interconnected systems are an important class of mathematical models, as theyallow for the construction of complex, hierarchical, multiphysics, andmultiscale models by the interconnection of simpler subsystems. Lagrange--Diracmechanical systems provide a broad category of mathematical models that areclosed under interconnection, and in this paper, we develop a framework for theinterconnection of discrete Lagrange--Dirac mechanical systems, with a viewtowards constructing geometric structure-preserving discretizations ofinterconnected systems. This work builds on previous work on theinterconnection of continuous Lagrange--Dirac systems (Jacobs and Yoshimura2014) and discrete Dirac variational integrators (Leok and Ohsawa 2011). Wetest our results by simulating some of the continuous examples given in Jacobsand Yoshimura 2014.
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机译：互连系统是一类重要的数学模型，因为它们允许通过更简单的子系统的互连来构建复杂的，层次的，多物理场的和多尺度的模型。拉格朗日-狄拉克力学系统提供了广泛的数学模型，这些模型在互连下是封闭的，在本文中，我们开发了一个离散拉格朗日-狄拉克力学系统的互连框架，以期构建互连系统的保留几何结构的离散化。这项工作建立在先前关于连续Lagrange-Dirac系统（Jacobs和Yoshimura 2014）与离散Dirac变分积分器（Leok and Ohsawa 2011）的互连的工作基础上。我们通过模拟Jacobsand Yoshimura 2014中给出的一些连续示例来测试我们的结果。
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